(2x-3)-3(x-6)=4

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Solution for (2x-3)-3(x-6)=4 equation:


Simplifying
(2x + -3) + -3(x + -6) = 4

Reorder the terms:
(-3 + 2x) + -3(x + -6) = 4

Remove parenthesis around (-3 + 2x)
-3 + 2x + -3(x + -6) = 4

Reorder the terms:
-3 + 2x + -3(-6 + x) = 4
-3 + 2x + (-6 * -3 + x * -3) = 4
-3 + 2x + (18 + -3x) = 4

Reorder the terms:
-3 + 18 + 2x + -3x = 4

Combine like terms: -3 + 18 = 15
15 + 2x + -3x = 4

Combine like terms: 2x + -3x = -1x
15 + -1x = 4

Solving
15 + -1x = 4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.
15 + -15 + -1x = 4 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 4 + -15
-1x = 4 + -15

Combine like terms: 4 + -15 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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